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Finding the Fourth Proportional to 315,807.20, 473,557.08 and 105,374

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Solution

The fourth proportional to 315,807.20, 473,557.08 and 105,374 is: 158,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.20 : 473,557.08 = 105,374 : x
  2. Step 2: Convert to fraction form
    315,807.20/473,557.08 = 105,374/x
  3. Step 3: Cross multiply
    315,807.20x = 473,557.08 × 105,374
  4. Step 4: Simplify right side
    315,807.20x = 49,900,603,747.92
  5. Step 5: Solve for x
    x = 49,900,603,747.92/315,807.20
  6. Step 6: Final answer
    x = 158,009.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.